We study the influence of dielectric properties of medium with dielectric constant epsilon in the charge transfer processes in the restricted and fractal solid spaces. It is shown that this influence is determined by the space restriction and its regularity. The increasing of epsilon promotes charge separation in restricted and fractal systems. The fractal properties grow weakly with increasing of epsilon, its increasing transfers the irregular fractal space into the regular one with respect to the charge transfer at epsilon much greater than alpha, The corresponding dependencies of the charge transfer efficiency on the value of epsilon are presented. The space restriction and breach of its homogeneous with alteration of epsilon give qualitatively identical results. The obtained results are good for low concentration of accepters.